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Finding the Fourth Proportional to 260.04, 390.05 and 89.04

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Solution

The fourth proportional to 260.04, 390.05 and 89.04 is: 133.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.04 : 390.05 = 89.04 : x
  2. Step 2: Convert to fraction form
    260.04/390.05 = 89.04/x
  3. Step 3: Cross multiply
    260.04x = 390.05 × 89.04
  4. Step 4: Simplify right side
    260.04x = 34,730.05
  5. Step 5: Solve for x
    x = 34,730.05/260.04
  6. Step 6: Final answer
    x = 133.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.